In BX, if there is one constant about "how the world works," it always boils down to one simple mechanic: the X-in-6 roll. Wandering monsters, finding secret doors, trap activation, listening for sounds, forcing open a door, and anything else not a percentage thief ability is always an X-in-6 check.
In fact, anything in BX is an X-in-6 check. Is the market open today? Is the door locked? Are there shields in stock? Can I find a medicinal herb nearby? Will the duchess see me? Is there a guard patrolling near here? Does the rope break this turn? Do I get run over by a stampeding bull? Does the potion bottle roll off the ledge? Are we lucky enough to find front row seats at the arena? Is the food spoiled? Is the weather bad today?
In BX, any question about the world is answered with an X-in-6 check.
And the different systems are not unified, and that is okay. Not everything has to be a floating strike zone, like it is in 5E! The higher level you go, somehow, the harder everything gets, and this is an endemic problem in any game that uses DC values. Why is it that at level 20, all the doors are DC 20 in adventures when they used to be DC 10? It is DC inflation, I guess.
The X-in-6 check is the universal way to interact with a BX world when there is an open question and the referee hasn't said otherwise. This is one constant about BX worlds: any question, if not determined by a referee to be one way or the other, is an X-in-6 roll.
X-in-6 is an old-school rule, and GURPS can use it without a problem. At this point, it is a pretty well-accepted referee tool, but it does run counter to how 5E does things with slapping a DC on everything. 5E does not use X-in-6 and prefers skill checks and DCs.
X-in-6 in GURPS
GURPS can borrow this rule, but there are specific rules for stuck doors, ability and skill checks, and other checks that supersede X-in-6. And GURPS, by default, uses a 3d6 reaction roll table, whereas BX uses a 2d6 table. But GURPS uses all types of rolls, and in the Campaigns book I can find 1d6, 2d6, and 3d6 charts a-plenty, so there is no standard X-in-6 rule, though you are free to borrow it and use it for GURPS if you like.
In GURPS, rolling high on oracle die (or dice) and reaction tables should be the good results, while rolling low is the bad result. This comes from the reaction roll table and should be uniform across all other types of rolls. If you have a 1d6 roll in GURPS, treat it as a 6+ for a 1-in-6 result with the best outcome. A 2d6 chart? A 12 should be the best result.
Where BX has a 1-in-6 chance for a wandering monster, GURPS would be that roll of one, also. But if the outcome were looking for a positive or beneficial result, put that at the high end of the die, and start at 6 and go down, such as 6+, 5+, 4+, and so on.
Keep the low results bad, and the higher results good.
This also allows you to use a dumbbell die (DBD), with 1 being bad, 6 being good, and everything else neutral. Are you rolling for encounters or wandering monsters? Toss a DBD; most of the time, it will be nothing, but you have two special results you can interpret. This DBD method also preserves the GURPS low-high and bad-good chart alignment, and feels more GURPS to me.
You can also eliminate one side of the DBD if there is no result on that side. A random roll to see if something good happens? Roll a 6. A random roll to check for a bad outcome? Pray you don't roll a 1. This way, a DBD can handle three types of rolls (good only, bad only, and bad-good-neutral) in a consistent manner with one die.
Is There a Standard?
But is there a standard in the books on how a GURPS world works? Is it always a 3d6 reaction table roll if you don't know the answer to a question? Not really. If you are using a d6 and an oracle, you have a 50% chance of getting a yes/no answer. Or a 33-and-1/3% yes, maybe, and no question using two numbers for each.
There is no standard for random tables, and you are free to use 1d6, 2d6, and 3d6 tables as often as you want. For an oracle roll, keep it simple: a 1d6, low is bad, high is good.
What defines a GURPS world comes down to science, math, and physical values such as distance, time, and temperature, as well as other "hard" values. This is always the default, since GURPS is, at its core, a simulation engine. These values drive modifiers for skill rolls. GURPS is a skill-based system. This is its engine and heart.
BX tends to blend the oracle die with set probabilities for specific events or outcomes. When in doubt, the entire world works on a 1-in-6 chance, modified up for probability. BX keeps the oracle die and the universal resolution mechanic as a unified system, while combat is different.
In GURPS, the oracle die, or dice, are separate from the skill resolution (or self-control) rolls. They are two different things that work on opposite high-low scales. Skills are skills, and these define the game. You will never be rolling a 1-in-6 chance to unlock a door in GURPS, it is always a skill. If the referee wants to put a random chance the door is unlocked? That can be an oracle die and not tied to the skill system, roll a 6 on 1d6.
The rest of the world is based on real numbers and math.
Skills are skills, and always 3d6 roll low.
An oracle die is kept apart from the skill system and is its own thing, and feel free to come up with any table you want. Keep these roll high.
And GURPS is GURPS.
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